Question

What is the 46th term for 2,7,12

Answer 1

227

Explanation:

and its general term is 5n-3

Answer 2

a₄₆ = 227

Explanation:

there is a common difference between consecutive terms in the sequence, that is

7 - 2 = 12 - 7 = 5

this indicates the sequence is arithmetic with nth- term

`a_(n)` = a₁ + (n - 1)d

a₁ is the first term, d the common difference , n the term number

here a₁ = 2, d = 5 and n = 46 , then

a₄₆ = 2 + (45 × 5) = 2 + 225 = 227